10811929872 has 80 divisors (see below), whose sum is σ = 29367852480. Its totient is φ = 3422630400.

The previous prime is 10811929871. The next prime is 10811929883. The reversal of 10811929872 is 27892911801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10811929871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21247 + ... + 148577.

It is an arithmetic number, because the mean of its divisors is an integer number (367098156).

Almost surely, 2^10811929872 is an apocalyptic number.

10811929872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10811929872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683926240).

10811929872 is an abundant number, since it is smaller than the sum of its proper divisors (18555922608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10811929872 is a wasteful number, since it uses less digits than its factorization.

10811929872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127432 (or 127426 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 10811929872 in words is "ten billion, eight hundred eleven million, nine hundred twenty-nine thousand, eight hundred seventy-two".